11(A) X 1 + X 2 = X 1 + E 1 + X 2 + E 2ERROR = E = ( X 1 + X 2 ) − (...

1-11

(a) x 1 + x 2 = X 1 + e 1 + X 2 + e 2

error = e = ( x 1 + x 2 ) − ( X 1 + X 2 )

= e 1 + e 2 Ans.

(b) x 1x 2 = X 1 + e 1 − ( X 2 + e 2 )

e = ( x 1x 2 ) − ( X 1X 2 ) = e 1e 2 Ans.

(c) x 1 x 2 = ( X 1 + e 1 )( X 2 + e 2 )

e = x 1 x 2X 1 X 2 = X 1 e 2 + X 2 e 1 + e 1 e 2

e 1

= . X 1 e 2 + X 2 e 1 = X 1 X 2

Ans.

X 1 + e 2

X 2

1 + e 1 / X 1

(d) x 1

X 2 + e 2 = X 1

x 2 = X 1 + e 1

1 + e 2 / X 2

= . 1 + e 1

1

= . 1 − e 2

1 + e 1

1 + e 2

X 2 and

X 1 1 − e 2

X 1e 2

= . X 1

e = x 1

x 2X 1